one postive number is 9 more than twice a number if product is 893 find the numbers

2 answers

If x = one number, then the other is 2x + 9.

x(2x + 9) = 893

Solve for x.
first number ---- x
second number -- 2x+9

x(2x+9) = 893
2x^2 + 9x - 893 = 0
x = (-9 ± √7225)/4
x = 19 or x = a negative

so the numbers are 19 and 47

check: 19x47 = 893